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Rozenblum, Grigori Vladimirovich
Statistics Math-Net.Ru
Total publications: 30
Scientific articles: 26
Talks: 5

Number of views:
This page:2827
Abstract pages:23544
Full texts:12981
Talk pages:2891
Video records:928
Candidate of physico-mathematical sciences (1974)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:

https://www.mathnet.ru/eng/person23499
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/209425
https://orcid.org/0000-0001-7145-1851
https://www.webofscience.com/wos/author/record/C-1779-2018
https://www.scopus.com/authid/detail.url?authorId=35611201600

Publications in Math-Net.Ru Citations
2026
1. G. Rozenblum, G. Tashchiyan, “Spectral asymptotics and estimates for matrix Birman-Schwinger operators with singular measures”, Zap. Nauchn. Sem. POMI, 550 (2026),  296–317  mathnet
2025
2. Grigori Rozenblum, “New remarks on the scattering for a perturbed polyharmonic operator”, Funktsional. Anal. i Prilozhen., 59:3 (2025),  127–139  mathnet  mathscinet; Funct. Anal. Appl., 59:3 (2025), 321–329  isi  scopus
2021
3. G. Rozenblum, “Eigenvalue asymptotics for polynomially compact pseudodifferential operators”, Algebra i Analiz, 33:2 (2021),  215–232  mathnet; St. Petersburg Math. J., 33:2 (2022), 341–353 2
4. G. V. Rozenblum, E. M. Shargorodskii, “Eigenvalue asymptotics for weighted polyharmonic operator with a singular measure in the critical case”, Funktsional. Anal. i Prilozhen., 55:2 (2021),  113–117  mathnet  mathscinet  elib; Funct. Anal. Appl., 55:2 (2021), 170–173  isi  scopus 1
2020
5. Grigori V. Rozenblum, Nikolai L. Vasilevski, “Trace Class Toeplitz Operators with Singular Symbols”, Trudy Mat. Inst. Steklova, 311 (2020),  241–249  mathnet  elib; Proc. Steklov Inst. Math., 311 (2020), 225–232  isi  scopus 1
2019
6. Y. Miyanishi, G. Rozenblum, “Eigenvalues of the Neumann–Poincare operator in dimension 3: Weyl's law and geometry”, Algebra i Analiz, 31:2 (2019),  248–268  mathnet  elib; St. Petersburg Math. J., 31:2 (2019), 371–386  isi  scopus 19
2018
7. G. V. Rozenblum, “On the mathematical papers of Mikhail Zakharovich Solomyak”, Algebra i Analiz, 30:3 (2018),  3–29  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:3 (2019), 391–410  isi  scopus
2013
8. G. Rozenblum, M. Solomyak, “On spectral estimates for the Schrödinger operators in global dimension 2”, Algebra i Analiz, 25:3 (2013),  185–199  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:3 (2014), 495–505  isi  scopus 9
2010
9. G. V. Rozenblum, M. Z. Solomyak, “On Spectral Estimates for Schrödinger-Type Operators: The Case of Small Local Dimension”, Funktsional. Anal. i Prilozhen., 44:4 (2010),  21–33  mathnet  mathscinet  zmath; Funct. Anal. Appl., 44:4 (2010), 259–269  isi  scopus 11
2004
10. M. S. Agranovich, G. V. Rozenblum, “Spectral boundary problems for Dirac systems with a singular potential”, Algebra i Analiz, 16:1 (2004),  33–69  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:1 (2005), 25–57 3
2000
11. G. V. Rozenblum, “Domination of semigroups and estimates for eigenvalues”, Algebra i Analiz, 12:5 (2000),  158–177  mathnet  mathscinet  zmath; St. Petersburg Math. J., 12:5 (2001), 831–845 10
1997
12. G. Rozenblum, M. Solomyak, “The Cwikel–Lieb–Rozenblyum estimator for generators of positive semigroups and semigroups dominated by positive semigroups”, Algebra i Analiz, 9:6 (1997),  214–236  mathnet  mathscinet  zmath; St. Petersburg Math. J., 9:6 (1998), 1195–1211 16
1992
13. B. A. Plamenevskii, G. V. Rozenblum, “Pseudodifferential operators with discontinuous symbols: $K$-theory and the index formula”, Funktsional. Anal. i Prilozhen., 26:4 (1992),  45–56  mathnet  mathscinet  zmath; Funct. Anal. Appl., 26:4 (1992), 266–275  isi 4
1991
14. B. A. Plamenevskii, G. V. Rozenblum, “Топологические характеристики алгебры сингулярных интегральных операторов на окружности с разрывными символами”, Algebra i Analiz, 3:5 (1991),  155–167  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:5 (1992), 1089–1101 2
1990
15. B. A. Plamenevskii, G. V. Rozenblum, “On the index of pseudodifferential operators with isolated singularities in the symbols”, Algebra i Analiz, 2:5 (1990),  165–188  mathnet  mathscinet  zmath; Leningrad Math. J., 2:5 (1991), 1085–1110 1
1989
16. G. V. Rozenblum, M. Z. Solomyak, M. A. Shubin, “Spectral theory of differential operators”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 64 (1989),  5–242  mathnet  mathscinet  zmath 32
1982
17. G. V. Rozenblum, “Spectral asymptotics of normal operators”, Funktsional. Anal. i Prilozhen., 16:2 (1982),  82–83  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:2 (1982), 145–146  isi 2
1980
18. G. V. Rozenblum, “Spectral asymptotics for elliptic systems”, Zap. Nauchn. Sem. LOMI, 96 (1980),  255–271  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 837–850 5
1978
19. G. V. Rozenblum, “Near-similarity of operators and the spectral asymptotic behavior of pseudodifferential operators on the circle”, Tr. Mosk. Mat. Obs., 36 (1978),  59–84  mathnet  mathscinet  zmath 7
1977
20. G. V. Rozenblum, “An asymptotic of the negative discrete spectrum of the Schrödinger operator”, Mat. Zametki, 21:3 (1977),  399–407  mathnet  mathscinet  zmath; Math. Notes, 21:3 (1977), 222–227 6
1976
21. G. V. Rozenblum, “Distribution of the discrete spectrum of singular differential operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 1,  75–86  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 20:1 (1976), 63–71 9
1975
22. G. V. Rozenblum, “Almost similarity of pseudodifferential systems on a circle”, Dokl. Akad. Nauk SSSR, 223:3 (1975),  569–571  mathnet  mathscinet  zmath 1
1974
23. G. V. Rozenblum, “Asymptotics of the eigenvalues of the Schrödinger operator”, Mat. Sb. (N.S.), 93(135):3 (1974),  347–367  mathnet  mathscinet  zmath; Math. USSR-Sb., 22:3 (1974), 349–371 18
1972
24. G. V. Rozenblum, “The distribution of the discrete spectrum for singular differential operators”, Dokl. Akad. Nauk SSSR, 202:5 (1972),  1012–1015  mathnet  mathscinet  zmath 15
25. G. V. Rozenblum, “On the eigenvalues of the first boundary value problem in unbounded domains”, Mat. Sb. (N.S.), 89(131):2(10) (1972),  234–247  mathnet  mathscinet  zmath; Math. USSR-Sb., 18:2 (1972), 235–248 24
1971
26. G. V. Rozenblum, “On the distribution of eigenvalues of the first boundary value problem in unbounded regions”, Dokl. Akad. Nauk SSSR, 200:5 (1971),  1034–1036  mathnet  zmath 1
2018
27. B. A. Amosov, V. M. Buchstaber, M. M. Malamud, S. P. Novikov, G. V. Rozenblum, T. A. Suslina, L. F. Friedlander, A. A. Shkalikov, “Mikhail Semenovich Agranovich (obituary)”, Uspekhi Mat. Nauk, 73:1(439) (2018),  173–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 73:1 (2018), 161–167  isi
2017
28. A. M. Vershik, E. D. Gluskin, V. A. Kozlov, A. A. Laptev, B. M. Makarov, B. S. Mityagin, P. Nevai, G. V. Rozenblum, T. A. Suslina, N. N. Ural'tseva, D. R. Yafaev, “Mikhail Zakharovich Solomyak (obituary)”, Uspekhi Mat. Nauk, 72:5(437) (2017),  181–186  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 72:5 (2017), 955–961  isi
1991
29. M. Sh. Birman, S. G. Krein, O. A. Ladyzhenskaya, G. V. Rozenblum, Yu. G. Safarov, “Mikhail Zakharovich Solomyak (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 46:4(280) (1991),  183–184  mathnet  mathscinet; Russian Math. Surveys, 46:4 (1991), 217–219  isi 2
1990
30. B. A. Plamenevskii, G. V. Rozenblum, “B. Blackadar. $K$-Theory for Operator Algebras. Mathematical Sciences Research Institute Publications, 5. New York: Springer, 1986. 338 p.”, Algebra i Analiz, 2:1 (1990),  244–248  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Eigenvalue distribution for some singular spectral problems
G. V. Rozenblum
V. I. Smirnov Seminar on Mathematical Physics
December 15, 2025 16:45   
2. On the Weyl asymptotics of the Poincare-Steklov spectral problem
G. V. Rozenblum
V. I. Smirnov Seminar on Mathematical Physics
November 6, 2023 16:30
3. Discrete spectrum of polynomially compact pseudodifferential operators and applications to the Neumann-Poincare operator in 3D elasticity
G. V. Rozenblum
Seminar on Analysis, Differential Equations and Mathematical Physics
December 8, 2022 18:00
4. Mikhail Zakharovich Solomyak (1931-2016) a Leningrad mathematician, an outstanding researcher in Functional Analysis and Mathematical Physics
G. V. Rozenblum
Seminar on the History of Mathematics
May 5, 2022 18:00   
5. Estimates and asymptotics for eigenvalues of Birman-Schwinger-type operator with singular measure in the critical case
G. V. Rozenblum
V. I. Smirnov Seminar on Mathematical Physics
December 28, 2020 16:30   

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